2 papers
math.AP2026
Boltzmann equations with dilatation and shear: global well-posedness and stability
Shuangqian Liu, Haoran Peng, Jiatong Zou
We study global well-posedness and stability for Boltzmann equations with linear velocity deformation, allowing for arbitrarily large deformation strength. For diagonal dilatation…
math.AP2026
Low-regularity global well-posedness for the Boltzmann equation near vacuum
Xinfeng Hu, Shuangqian Liu, Haoran Peng +1
We study the Boltzmann equation near vacuum in anisotropic low-regularity Besov spaces. We establish the global existence and uniqueness of strong solutions with the critical regul…